Chin-Lung Wang

activity

19982026

most citedK-equivalence in Birational Geometry

19 citations · 69 across the 17 of their papers we have counts for

collaborators

Showing math.APShow all

4 papers · 1 filter

math.AP2016★ 3 cited

Geometric quantities arising from bubbling analysis of mean field equations

Chang-Shou Lin, Chin-Lung Wang

Let $E = C /Λ$ be a flat torus and $G$ be its Green function with singularity at $0$ . Consider the multiple Green function $G_{n}$ on $E^{n}$ : $$G_{n}(z_1,\cdots,z_n) := \sum_{i <…

math.AP2015★ 6 cited

Mean field equations, hyperelliptic curves and modular forms: I

Ching-Li Chai, Chang-Shou Lin, Chin-Lung Wang

We develop a theory connecting the following three areas: (a) the mean field equation (MFE) $△ u + e^{u} = ρ δ_{0}$ , $ρ \in R_{> 0}$ on flat tori $E_τ= \mathbb C/(\math…

math.AP2015★ 10 cited

Mean field equations, hyperelliptic curves and modular forms: II

Chang-Shou Lin, Chin-Lung Wang

A pre-modular form $Z_{n} (σ; τ)$ of weight $\frac{1}{2} n (n + 1)$ is introduced for each $n \in N$ , where $(σ, τ) \in C \times H$ , such that for $E_τ= \Bbb C/(\Bbb Z…

math.AP2006★ 1 cited

Elliptic functions, Green functions and the mean field equations on tori

Chang-Shou Lin, Chin-Lung Wang

We show that the Green functions on flat tori can have either 3 or 5 critical points only. There does not seemto be any directmethod to attack this problem. Instead, we have to emp…